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Finding the Third Proportional to 104,854 and 228,139

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Solution

The third proportional to 104,854 and 228,139 is: 496,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,854 : 228,139 = 228,139 : x
  2. Step 2: Convert to fraction form
    104,854/228,139 = 228,139/x
  3. Step 3: Cross multiply
    104,854x = 228,139 × 228,139
  4. Step 4: Simplify right side
    104,854x = 52,047,403,321
  5. Step 5: Solve for x
    x = 52,047,403,321/104,854
  6. Step 6: Final answer
    x = 496,379.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.